Chapter 13.2, Problem 9WE

To determine

To find the slope of the line through the points $\left(6,-6\right);\left(-6,-6\right)$.

Answer to Problem 9WE

The slope of the line is not defined.

Explanation of Solution

Given information: The points are $\left(6,-6\right);\left(-6,-6\right)$ .

Concept used: The slope, denoted by m, of the nonvertical line through the points $\left(x_1,y_1\right)$ and $\left(x_2,y_2\right)$ is defined as follows:

  $slope\left(m\right)=\frac{y_2-y_1}{x_2-x_1}$ .

Calculation: The slope of the line through the points is obtained as,

  $\left(6,-6\right);\left(-6,-6\right)$

here,

  $\begin{array}{l}{x}_1=6\\ y_1=-6\\ x_2=-6\\ y_2=-6\end{array}$

Therefore, $slope\left(m\right)=\frac{y_2-y_1}{x_2-x_1}=\frac{-6+6}{-6-6}=0$ , not defined.

Hence, the slope of the line is not defined.